\(A=\frac{\left|x-1\right|+\left|x\right|-x}{3x^2+4x+1}=\frac{1-x-x-x}{3x^2+3x+x+1}=\frac{1-3x}{\left(x+1\right)\left(3x+1\right)}\)
\(B=\frac{\left|2x-1\right|+x}{3x^2-22x+7}=\frac{1-2x+x}{3x^2-21x-x+7}=\frac{1-x}{\left(x-7\right)\left(3x-1\right)}\)
rút gọn
a) \(\frac{1}{x-y}-\frac{3xy}{x^2-y^2}+\frac{x-y}{x^2+x+y^2}\)
b) \(\frac{1}{x^2+3x+2}+\frac{1}{x^2+4x+4}+\frac{1}{x^2+5x+6}\)
c) \(\frac{4.\left(x+3\right)^2}{\left(3x+5\right)^2-4x^2}-\frac{x^2-25}{9x^2.\left(2x+5\right)^2}-\frac{\left(2x+3\right)^2-x^2}{\left(4x+15\right)^2-x^2}\)
giải jùm vs
Rút gọn Pthức:
A= \(\left(\frac{1}{x+1}-\frac{3}{x^3+1}+\frac{3}{x^2+x+1}\right)\frac{3x^2-3x+3}{\left(x+1\right)\left(x+2\right)}-\frac{2x-2}{x^2+2x}\)
GIẢI PHƯƠNG TRÌNH SAU
A) \(\frac{X^2+2X+1}{X^2+2X+2}+\frac{X^2+2X+2}{X^2+2X+3}=\frac{7}{6}\)
B) \(\frac{\left(X^2-3X-4\right)^4}{\left(X-3\right)^5\left(X+2\right)^3}+\frac{\left(X^2+4X+3\right)^6}{\left(X-3\right)^3\left(X+2\right)^5}=0\)
\(\left(\frac{1}{x+1}-\frac{3}{x^3+1}+\frac{3}{x^2-x+1}\right).\frac{3x^2-3x+3}{\left(x+1\right)\left(x+2\right)}-\frac{2x-2}{x^2+2x}\) thực hiện phép tính
tính
\(\left(\frac{x+2}{x+1}-\frac{2x}{x-1}\right).\frac{3x+3}{x}+\frac{4x^2+x+7}{x^2-x}\)
Rút gọn \(\frac{1}{\left(x+y\right)^3}.\left(\frac{1}{x^3}+\frac{1}{y^3}\right)+\frac{3}{\left(x+y\right)^5}.\left(\frac{1}{x^2}+\frac{1}{y^2}\right)+\frac{6}{\left(x+y\right)^5}.\left(\frac{1}{x}+\frac{1}{y}\right)\)
A)\(^{ }\left(^{ }x+1\right)\left(2x-1\right)\left(-x+2\right)=0\)
B)\(^{ }\left(2x-1\right)\left(3x+2\right)\left(4x-5\right)\left(x-7\right)=0\)
C)\(^{ }x^2-6x+11=0\)
D)(\(\left(x^2+2x+3\right)\left(x^2-25\right)\left(x+19\right)=0\)
Phân tích đa thức thành nhân tử
\(a,\left(48x^2+8x-1\right)\left(3x^2+5x+2\right)-4\)
\(b,\left(7-x\right)^4+\left(5-x\right)^4-2\)
\(c,x^4+x^3-2x^2-6x-4\)
\(d,4\left(x^4+11x+30\right)\left(x^2+22x+120\right)-3x^2\)
Tinh
\(A=\left(\frac{x}{x+1}+\frac{1}{x-1}\right):\left(\frac{2x+2}{x-1}-\frac{4x}{x^2-1}\right)\)
\(B=\frac{x^2}{x-2}.\left(\frac{x^2+4}{x}-4\right)+5\)
